Reconstruction of inflation model from tensor-to-scalar ratio

TL;DR

This paper reconstructs inflation models with small tensor-to-scalar ratios, aligning with observations, by deriving potentials and f(R) gravity forms, emphasizing the role of the e-folding number in these models.

Contribution

It introduces a method to reconstruct inflation potentials and f(R) gravity models that produce small tensor-to-scalar ratios consistent with recent data.

Findings

Tensor-scalar ratio proportional to 1/N^2

Scalar spectral index matches observations

Reconstructed f(R) gravity models with small tensor ratios

Abstract

We reconstruct the potential of minimally coupling inflation model which produces small value of the tensor-scalar ratio. In these inflation models, tensor-scalar ratio is proportional to 1/N^2 scalar spectral index is in good agreement with recent cosmological observations, in which N is the e-folding number and p is a positive number. We also reconstruct f(R) gravity inflation from small tensor-tensor ratio.